मराठी

Make correct statement by filling in the symbols ⊂ or ⊄ in the blank space: {x : x is a circle in the plane} _____ {x : x is a circle in the same plane with radius 1 unit} - Mathematics

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प्रश्न

Make correct statement by filling in the symbols ⊂ or ⊄ in the blank space:

{x : x is a circle in the plane} _____ {x : x is a circle in the same plane with radius 1 unit}

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उत्तर

{x : x is a circle in the plane} {x : x is a circle in the same plane with radius 1 unit}

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  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 1: Sets - EXERCISE 1.3 [पृष्ठ १२]

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एनसीईआरटी Mathematics [English] Class 11
पाठ 1 Sets
EXERCISE 1.3 | Q 1. (iv) | पृष्ठ १२

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संबंधित प्रश्‍न

{a} ⊂ {a. b, c}


{a} ∈ (a, b, c)


{x : x is an even natural number less than 6} ⊂ {x : x is a natural number which divides 36}


Let A = {1, 2, {3, 4}, 5}. The following statement is correct or incorrect and why?

{3, 4} ⊂ A


Write down all the subsets of the following set:

{a}


Write the following as intervals:  {x: x ∈ R, –12 < x < –10}


Write the following as intervals: {x : x ∈ R, 3 ≤ x ≤ 4}


Write the given intervals in set-builder form:

[6, 12]


Write the following interval in set-builder form:

[–23, 5)


Determine whether the statement is true or false. If it is true, prove it. If it is false, give an example.

If x ∈ A and A ∈ B, then x ∈ B


Determine whether the statement is true or false. If it is true, prove it. If it is false, give an example.

If A ⊂ B and B ∈ C, then A ∈ C


If a set contains n elements, then write the number of elements in its power set. 


Let A = {x : x ∈ Nx is a multiple of 3} and B = {x : x ∈ N and x is a multiple of 5}. Write \[A \cap B\] 


If A = {x ∈ C : x2 = 1} and B = {x ∈ C : x4 = 1}, then write A − B and B − A


If A and B are two sets such that \[A \subset B\], then write B' − A' in terms of A and B.


If \[A = \left\{ \left( x, y \right) : y = \frac{1}{x}, 0 \neq x \in R \right\}\]and\[B = \left\{ \left( x, y \right) : y = - x, x \in R \right\}\] then write\[A \cap B\]


Make correct statement by filling in the symbols ⊂ or ⊄ in the blank space:

{a, b, c} _____ {b, c, d}


Make correct statement by filling in the symbols ⊂ or ⊄ in the blank space:

{x : x is an equilateral triangle in a plane} _____ {x : x is a triangle in the same plane}


Let A = {1, 2, {3, 4}, 5}. The following statement is correct or incorrect and why?

{3, 4} ∈ A


Let A = {1, 2, {3, 4}, 5}. The following statement is correct or incorrect and why?

1 ∈ A


Let A = {1, 2, {3, 4}, 5}. The following statement is correct or incorrect and why?

{1, 2, 3} ⊂ A


Let A = {1, 2, {3, 4}, 5}. The following statement is correct or incorrect and why?

Φ ∈ A


Let A = {1, 2, {3, 4}, 5}. The following statement is correct or incorrect and why?

Φ ⊂ A


Write down all the subsets of the following set:

Φ


Write the following interval in Set-Builder form:

(– 3, 0)


Given that N = {1, 2, 3, ..., 100}, then write the subset A of N, whose element are odd numbers.


Given that N = {1, 2, 3, ..., 100}, then write the subset B of N, whose element are represented by x + 2, where x ∈ N.


If X = {1, 2, 3}, if n represents any member of X, write the following sets containing all numbers represented by 4n


If X = {1, 2, 3}, if n represents any member of X, write the following sets containing all numbers represented by n + 6


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If X = {8n – 7n – 1 | n ∈ N} and Y = {49n – 49 | n ∈ N}. Then ______.


State True or False for the following statement.

Given that M = {1, 2, 3, 4, 5, 6, 7, 8, 9} and if B = {1, 2, 3, 4, 5, 6, 7, 8, 9}, then B ⊄ M.


State True or False for the following statement.

Q ∪ Z = Q, where Q is the set of rational numbers and Z is the set of integers.


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